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Free Program for SEAMEO School Network from the University of Tsukuba, Affiliate Member of SEAMEO Teaching Mathematics to Develop Mathematical Thinking as Higher Order Thinking
:
How do you teach? Why?
Lesson 3: What is Number?
Isoda, Masami. Prof., Faculty of Human Sciences Director of CRICED, The University of Tsukuba, Japan
With collaborations of
Nguyen Chi Thanh, TEH Kim Hong and Wahid Yunianto Revitalizing Teacher Education
Adopting a 21stCentury Curriculum
Acquisition Reflection Appreciations
Curriculum Standards: SEABES-CCRLS( by SEAMEO-RECSAM (Mangao, Ahmad, Isoda; 2017) 2 HOTS is Math. T.
Set (cardinal) Number VS Ordinal Number, only that?
What is number?
Why JP textbook teach number on this sequence?
Numerals In English as a language Cardinal Number (set number):
One, two, three, ….nine, ten, eleven, twelve, …, nineteen, twenty, twenty-one(20+1), …, thirty, thirty-one, … notexact base ten system?
Ordinal Number:
First, Second, Third, Forth, …, ninth, tenth, eleventh,
…, nineteenth, twentieth, twenty first, … ---
Multiple:
Once (one time), twice(two times), thrice(three times), …
Half, double (twofold), triple (threefold), …
In Japanese
Cardinal Number (set number):
Ichi, ni, san,…, jyu(ten), jyu (ten)-ichi (one) (eleven), jyu-ni (ten+two)… exact base ten system
Historically Hitotsu, Futatsu, Mittsu, …, To (ten) Ordinal Number：C.N.＋番(ban) Ichi-ban, ni-ban, san-ban, … Multiple: C.N.＋倍(bai) Ichi-bai, ni-bai, san-bai, … How about in your language?
Number showsmagnitude (size) but not show the quantity.
Quantity (amount/measure) is represented by numberwith denomination.
ʻ3 applesʼ are denominated number:
an apple is the unit for counting (measurement). 3 is a number.
What is the number?
We usually teach:
• Existence and necessity
• Order/Larger or Smaller/
Greater or Less
• Operations
How do you teach?
Make sense?
Acquisition of proficiency?
For what?
Number sense?
In Japan:
Make sense (understand meaning)
Think about how to calculate/operate/find the easier way to answer Acquisition of proficiency Try to teach how to extend the number
How many?
Term: Composition (combine) and decomposition (split) of numbers
Learning How to Learn from Repetition of similar tasks by using what already learned.
Task sequence for preparation of future learning.
Counting unit is not necessary to be a one.
Count by one, Count on
Which one, do you teach?
• Count by two
• Count by three
• Count by four
• Count by five Why?
What is number?
Why JP textbook teach number on this sequence?
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References
Masami Isoda, Raimundo Olfos edited (2020). Teaching Multiplication with Lesson Study: Japanese and Ibero-American Theories for International Mathematics Education. Cham, Switzerland: Springer.
(Open Access)
Masami Isoda, Aki Murata (2020).Study with your friends: Mathematics for Elementary School (12 vols.). Tokyo, Japan: Gakko Tosho.
Masami Isoda, Aki Murata, Aida Yap (2015).Study with your friends: Mathematics for Elementary School (12 vols.). Tokyo, Japan: Gakko Tosho.
Masami Isoda, David Tall (2019). Mathematics for Junior High School (3 vols.). Tokyo, Japan: Gakko Tosho.
Dominador Dizon Mangao, Nur Jahan Ahmad, Masami Isoda edited (2017).SEAMEO basic education standards (SEA-BES): Common core regional learning standards (CCRLS) in mathematics and science. Penang, Malaysia: SEAMEO-RECSAM, http://www.recsam.edu.my/sub_sea- bes/images/docs/SEAMEO-ASEAN-Curriculum-SEABES-CCRLS-Standards.pdf Maitree Inprasitha, Masami Isoda, Patsy Wang Iverson, Ban Har Yap (2015). Lesson Study:
Challenges in Mathematics Education. New Jersey, USA: World Scientific
Masami Isoda, Shigeo Katagiri (2012). Mathematical Thinking: How to develop it in the classroom.
New Jersey, USA: World Scientific
TEH Kim Hong, ISODA Masami, GAN Teck Hock (in printing). Mathematics Challenges for Classroom Practices at the Lower Primary Level. Penang, Malaysia: SEAMEO-RECSAM
ISODA Masami, TEH Kim Hong, GAN Teck Hock (in printing). Mathematics Challenges for Classroom Practices at the Upper Primary Level. Penang, Malaysia: SEAMEO-RECSAM
GAN Teck Hock, ISODA Masami, TEH Kim Hong (20augi21). Mathematics Challenges for Classroom Practices at the Lower Secondary Level. Penang, Malaysia: SEAMEO-RECSAM
2005 Edition 2010 Edition
Primary School Textbook 2001 Curriculum 2005 Japanese Edition 2005 English Edition
↓ 2010 Thai Ed.
2012 Mexico Ed.
2019 Chile Pro. Ed.
2011 Curriculum 2011 Japanese Edition 2011 English Edition
↓ 2019 Papua N.G. Edit.
2020 Indonesian Edi.
2020 Chile Ed.
2015 Japanese-Edition 2015 English-Edition
2020 Curriculum 2020 Japanese Edition 2020 English Edition
10 Editions4 Editions
Junior High S. Textbook 2012 Curriculum 2016 Japanese-Edition 2019 English-Edition 2020 Indonesian-Edition 202X Thai Ed.
4 Editions
11 Gakko Tosho: Study with your friends:
Mathematics for Elementary School Series
Isoda, M., Tall, D. (2019). Junior High School Mathematics Textbook, Gakko Tosho
References
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